Please help me I not know how to do these!

The measure of an angle is 40°. What is the measure of its supplementary angle?

katrin [286]

Answer:

The supplement angle 140° angle.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the volume of the figure.

NARA [144]

Answer:

Step-by-step explanation:

Volume of the figure = Volume of cone + Volume of hemisphere

Cone:

height h = 33 m

Diameter = 30m

Radius r = 30/2 = 15 m

Volume of Cone:

$=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}\pi*15*15*33\\\\=\pi*15*15*11\\\\=2475\pi m^{2}$

Hemisphere:

Radius r = 15 m

Volume of Hemisphere =

$=\frac{2}{3}\pi*r^{3}\\\\=\frac{2}{3}\pi*15*15*15\\\\=2*\pi*5*15*15\\\\=2250\pi$

Volume of the figure = 2475π + 2250π = 4725π m²

3 0

3 years ago

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev

Varvara68 [4.7K]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let $\bar X$ = the average length of rods in a randomly selected bundle of steel rods

The z-score probability distribution for the sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean length of rods = 259.2 cm

$\sigma$ = standard deviaton = 2.1 cm

n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( $\bar X$ > 259 cm)

P( $\bar X$ > 259 cm) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{259-259.2}{\frac{2.1}{\sqrt{17} } }$ ) = P(Z > -0.39) = P(Z < 0.39)

= 0.65173

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

8 0

3 years ago

the combined weight of an older sister and her baby brother is 74 pounds. The weight of the older sister is 2 pounds less than t

Naddik [55]

74-2=72 and 72 times 3=216 that willl be your answer

7 0

3 years ago

I Need to know a or b is the answer to this question

grandymaker [24]

Answer:

A

Step-by-step explanation:

in option B, you are adding the 3 pound plastic box to each cardboard box

in option A, you have 5 separate carboard packages, and one 3 pound plastic box

This [option a] is the diagram that matches the scenario given.

Think of the x's as normal numbers. Let's say the weight of each "x" is 1. [it's not I'm aware that this question is different]

if you have 5 x's, you have

1 1 1 1 1 3

not 1+3 ; 1+3 ; 1+3 ; 1+3 ; 1+3

you would only have this if you were to add a 3 pound plastic box to each individual package

3 0

1 year ago